249792320 has 28 divisors (see below), whose sum is σ = 594818724. Its totient is φ = 99916800.

The previous prime is 249792299. The next prime is 249792359. The reversal of 249792320 is 23297942.

It can be written as a sum of positive squares in 2 ways, for example, as 171505216 + 78287104 = 13096^2 + 8848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389981 + ... + 390620.

Almost surely, 2^249792320 is an apocalyptic number.

249792320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249792320 is an abundant number, since it is smaller than the sum of its proper divisors (345026404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249792320 is an equidigital number, since it uses as much as digits as its factorization.

249792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780618 (or 780608 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 249792320 is about 15804.8195181090. The cubic root of 249792320 is about 629.7860363524.

The spelling of 249792320 in words is "two hundred forty-nine million, seven hundred ninety-two thousand, three hundred twenty".